Challenges.
The objectiveness of the proposed continual neural mapping problem is to find an optimal neural network that shares parameters \(\theta ^t\)  across all previous tasksTask refers to a particular period of time where the data distribution is stationary and the objective function is constant [1]}. as:
\(\arg \min _{\theta _t}\frac{1}{\Vert \mathcal {D}^{1:t}\Vert }\sum _{\mathcal {D}^{1:t}} \mathcal {L}(f(\mathbf {x};\theta ^t), \mathbf {y})\) 
